57.59 is what percent of 24.49 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 24.49 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 24.49, so we can write it down as 100%=24.49.
4. We know, that x% equals 57.59 of the output value, so we can write it down as x%=57.59.
5. Now we have two simple equations:
1) 100%=24.49
2) x%=57.59
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=24.49/57.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.59 is what percent of 24.49

100%/x%=24.49/57.59
(100/x)*x=(24.49/57.59)*x       - we multiply both sides of the equation by x
100=0.42524743879146*x       - we divide both sides of the equation by (0.42524743879146) to get x
100/0.42524743879146=x
235.15720702327=x
x=235.15720702327

now we have:
57.59 is 235.15720702327% of 24.49